3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.
3. A decoder can be used to implement SOP expressions. a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![**ECE 171 HW 4**
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3. A decoder can be used to implement SOP expressions.
a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.
[Diagram Explanation]
- **Inputs**: There are three inputs labeled A, B, and C.
- **Decoder**: The diagram shows a 3x8 decoder with eight output lines, labeled from 0 to 7.
- **Connections**:
- Output lines 0, 1, and 3 are connected to an OR gate that produces output F.
- Output lines 2 and 5 are connected to another OR gate that produces output G.
*Additional Context*: In a 3x8 decoder, three input lines are decoded into one of eight outputs (0-7). Each output line represents a minterm corresponding to the binary combination of inputs A, B, and C.
*Objective*: Determine the logic expressions for the outputs F and G in terms of the inputs (A, B, C). Express the solutions in compact minterm form.
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Transcribed Image Text:**ECE 171 HW 4**
---
3. A decoder can be used to implement SOP expressions.
a) A 3x8 decoder is shown below with some OR gates. What are the functions F and G? Give your answers in compact minterm form.
[Diagram Explanation]
- **Inputs**: There are three inputs labeled A, B, and C.
- **Decoder**: The diagram shows a 3x8 decoder with eight output lines, labeled from 0 to 7.
- **Connections**:
- Output lines 0, 1, and 3 are connected to an OR gate that produces output F.
- Output lines 2 and 5 are connected to another OR gate that produces output G.
*Additional Context*: In a 3x8 decoder, three input lines are decoded into one of eight outputs (0-7). Each output line represents a minterm corresponding to the binary combination of inputs A, B, and C.
*Objective*: Determine the logic expressions for the outputs F and G in terms of the inputs (A, B, C). Express the solutions in compact minterm form.
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